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The data below show the number of questions are students all each day in the past four day 18 16 18 what is the first number of questions the student should solve on the 5th day so that the mean number of questions of each day is at least 14?
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The data below show the number of questions are students all each day ...
To determine the number of questions a student should solve on the 5th day to achieve a mean of at least 14 questions over the five days, we can follow these steps:
Understanding the Current Data
- The number of questions solved in the past four days are:
- Day 1: 18
- Day 2: 16
- Day 3: 18
- Day 4: 0 (not provided, assuming zero for calculation)
- Total questions solved over the first four days:
18 + 16 + 18 + 0 = 52 questions
Calculating the Required Total
- To find the mean for five days that is at least 14, we can use the formula for mean:
Mean = (Total Questions) / (Number of Days)
- Rearranging the formula gives us:
Total Questions = Mean * Number of Days
Total Questions = 14 * 5 = 70 questions
Finding Questions for the 5th Day
- Now, we need to find out how many questions the student must solve on the 5th day:
Questions on Day 5 = Total Questions Needed - Total Questions Solved in 4 Days
Questions on Day 5 = 70 - 52 = 18 questions
Conclusion
- The student should solve at least 18 questions on the 5th day to ensure that the mean number of questions solved over the five days is at least 14.
By following these calculations, the student can effectively plan their workload and achieve the desired average.
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The data below show the number of questions are students all each day in the past four day 18 16 18 what is the first number of questions the student should solve on the 5th day so that the mean number of questions of each day is at least 14?
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